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Mathematical modeling for developmental processes.

Yoh Iwasa1,2

  • 1Department of Biology, Faculty of Science, Kyushu University, Fukuoka, Japan.

Development, Growth & Differentiation
|May 16, 2023
PubMed
Summary
This summary is machine-generated.

Mathematical models in developmental biology, including feedback vertex sets for gene networks and deformation tensors for tissue morphogenesis, offer new insights into cell differentiation and biological development.

Keywords:
deformation tensorfeedback vertex setforcesgene regulatory networkoptimal control

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Area of Science:

  • Developmental Biology
  • Systems Biology
  • Mathematical Modeling

Background:

  • Recent advances in developmental biology leverage mathematical models to understand complex biological processes.
  • Key concepts include gene regulatory networks, tissue morphogenesis, mechanobiology, and adaptive developmental strategies.

Purpose of the Study:

  • To review established mathematical models and concepts in developmental biology from the last decade.
  • To highlight their application in understanding cell fate, tissue development, and adaptive growth.

Main Methods:

  • Review of mathematical models such as feedback vertex sets and deformation tensors.
  • Analysis of gene regulatory networks and their experimental manipulation.
  • Integration of concepts from mechanobiology and adaptive design.

Main Results:

  • Feedback vertex sets in gene networks can control cell differentiation.
  • Deformation tensors quantify tissue morphogenesis, with variations observed in chick limb bud development.
  • Mechanobiology links cellular forces to gene expression and tissue shape.
  • Adaptive growth models explain developmental plasticity in response to environmental factors.

Conclusions:

  • Mathematical modeling provides powerful tools for dissecting developmental processes.
  • Understanding gene networks, tissue mechanics, and adaptive strategies is crucial for developmental biology.
  • These models offer predictive power and experimental guidance for future research.